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cleartomark
%%EndFont 
%%BeginFont: CMSY10
%!PS-AdobeFont-1.1: CMSY10 1.0
%%CreationDate: 1991 Aug 15 07:20:57
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-29 -960 1116 775}readonly def
/UniqueID 5000820 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR10
%!PS-AdobeFont-1.1: CMR10 1.00B
%%CreationDate: 1992 Feb 19 19:54:52
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-251 -250 1009 969}readonly def
/UniqueID 5000793 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMTI10
%!PS-AdobeFont-1.1: CMTI10 1.00B
%%CreationDate: 1992 Feb 19 19:56:16
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMTI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMTI10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-163 -250 1146 969}readonly def
/UniqueID 5000828 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMCSC10
%!PS-AdobeFont-1.1: CMCSC10 1.0
%%CreationDate: 1991 Aug 18 17:46:49
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMCSC10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMCSC10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{14 -250 1077 750}readonly def
/UniqueID 5000772 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMTT12
%!PS-AdobeFont-1.1: CMTT12 1.0
%%CreationDate: 1991 Aug 20 16:45:46
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMTT12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch true def
end readonly def
/FontName /CMTT12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-1 -234 524 695}readonly def
/UniqueID 5000833 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR9
%!PS-AdobeFont-1.1: CMR9 1.0
%%CreationDate: 1991 Aug 20 16:39:59
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR9) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR9 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-39 -250 1036 750}readonly def
/UniqueID 5000792 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMSY8
%!PS-AdobeFont-1.1: CMSY8 1.0
%%CreationDate: 1991 Aug 15 07:22:10
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-30 -955 1185 779}readonly def
/UniqueID 5000818 def
currentdict end
currentfile eexec
D9D66F633B846A97B686A97E45A3D0AA052F09F9C8ADE9D907C058B87E9B6964
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cleartomark
%%EndFont 
%%BeginFont: CMMI12
%!PS-AdobeFont-1.1: CMMI12 1.100
%%CreationDate: 1996 Jul 27 08:57:55
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-30 -250 1026 750}readonly def
/UniqueID 5087386 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR8
%!PS-AdobeFont-1.1: CMR8 1.0
%%CreationDate: 1991 Aug 20 16:39:40
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-36 -250 1070 750}readonly def
/UniqueID 5000791 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: MSBM10
%!PS-AdobeFont-1.1: MSBM10 2.1
%%CreationDate: 1993 Sep 17 11:10:37
% Math Symbol fonts were designed by the American Mathematical Society.
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (2.1) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (MSBM10) readonly def
/FamilyName (Euler) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /MSBM10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 82 /R put
readonly def
/FontBBox{-55 -420 2343 920}readonly def
/UniqueID 5031982 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMBX12
%!PS-AdobeFont-1.1: CMBX12 1.0
%%CreationDate: 1991 Aug 20 16:34:54
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-53 -251 1139 750}readonly def
/UniqueID 5000769 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR12
%!PS-AdobeFont-1.1: CMR12 1.0
%%CreationDate: 1991 Aug 20 16:38:05
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-34 -251 988 750}readonly def
/UniqueID 5000794 def
currentdict end
currentfile eexec
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%%Page: 2 2
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%%Page: 3 3
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V 273 4287 3322 4 v 273 4303 V 271 4419 4 117 v 314 4385
a Fj(d)c Fn(=)f(3)p 682 4419 V 699 4419 V 299 w(1.51)p
1159 4419 V 257 w(5.93)p 1562 4419 V 258 w(1.31)p 2022
4419 V 233 w(1.51)p 2376 4419 V 233 w(1.51)p 2836 4419
V 258 w(1.48)p 3239 4419 V 204 w(9.16)p 3593 4419 V 273
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a Fj(d)h Fn(=)f(24)p 682 4778 V 699 4778 V 226 w(16.59)p
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4778 V 209 w(19.11)p 2376 4778 V 184 w(13.92)p 2836 4778
V 208 w(48.51)p 3239 4778 V 147 w(Large)p 3593 4778 V
273 4781 3322 4 v 271 4898 4 117 v 314 4863 a Fj(d)h
Fn(=)f(48)p 682 4898 V 699 4898 V 226 w(33.51)p 1159
4898 V 184 w(155.48)p 1562 4898 V 208 w(6.57)p 2022 4898
V 209 w(42.81)p 2376 4898 V 184 w(28.70)p 2836 4898 V
184 w(159.29)p 3239 4898 V 122 w(Large)p 3593 4898 V
273 4901 3322 4 v 271 5017 4 117 v 314 4982 a Fj(d)h
Fn(=)f(96)p 682 5017 V 699 5017 V 226 w(61.97)p 1159
5017 V 184 w(306.64)p 1562 5017 V 208 w(8.32)p 2022 5017
V 209 w(90.98)p 2376 5017 V 184 w(58.44)p 2836 5017 V
184 w(602.07)p 3239 5017 V 122 w(Large)p 3593 5017 V
273 5020 3322 4 v 271 5137 4 117 v 314 5102 a Fj(d)h
Fn(=)f(192)p 682 5137 V 699 5137 V 99 w(Unstable)p 1159
5137 V 109 w(619.55)p 1562 5137 V 106 w(Unstable)p 2022
5137 V 84 w(186.86)p 2376 5137 V 82 w(Unstable)p 2836
5137 V 84 w(9607.73)p 3239 5137 V 98 w(Large)p 3593 5137
V 273 5140 3322 4 v 271 5256 4 117 v 314 5221 a Fj(d)h
Fn(=)f(384)p 682 5256 V 699 5256 V 99 w(Unstable)p 1159
5256 V 84 w(1221.43)p 1562 5256 V 82 w(Unstable)p 2022
5256 V 84 w(382.10)p 2376 5256 V 82 w(Unstable)p 2836
5256 V 124 w(Large)p 3239 5256 V 139 w(Large)p 3593 5256
V 273 5260 3322 4 v 703 5383 a Fo(T)-9 b(able)37 b(7.)49
b Fn(Av)m(erage)34 b(iteration)e(coun)m(ts)i(in)f Fm(G3)g
Fn(generator)f(tests.)p eop end
%%Page: 4 4
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w(55)p 2305 441 V 247 w(16)p 2765 441 V 295 w(46)p 3092
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V 288 w(28)p 1337 561 V 247 w(195)p 1615 561 V 271 w(9)p
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V 878 919 V 99 w(Unstable)p 1337 919 V 109 w(736)p 1615
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V 82 w(Unstable)p 2765 919 V 84 w(72317)p 3092 919 V
82 w(Large)p 3415 919 V 451 923 2966 4 v 449 1039 4 117
v 492 1004 a Fj(d)h Fn(=)f(384)p 861 1039 V 878 1039
V 99 w(Unstable)p 1337 1039 V 85 w(1399)p 1615 1039 V
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v 771 1472 4 117 v 1183 1472 V 1200 1472 V 1259 1437
a Fm(A1)p 1456 1472 V 164 w(A2)p 1810 1472 V 165 w(A3)p
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V 1200 1847 V 148 w(0.97)p 1456 1847 V 131 w(7.61)p 1810
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V 82 w(0.63)p 2579 1847 V 83 w(0.97)p 2836 1847 V 82
w(1.78)p 3092 1847 V 773 1851 2321 4 v 771 1967 4 117
v 815 1932 a Fj(d)f Fn(=)h(24)p 1183 1967 V 1200 1967
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V 83 w(1.01)p 2836 2086 V 82 w(1.87)p 3092 2086 V 773
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V 99 w(0.77)p 1456 2445 V 82 w(211.20)p 1810 2445 V 82
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V 83 w(A4)p 2261 2877 V 83 w(A5)p 2484 2877 V 83 w(A6)p
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2897 V 932 3013 4 117 v 976 2978 a Fj(d)27 b Fn(=)g(3)p
1344 3013 V 1361 3013 V 243 w(2)p 1584 3013 V 178 w(5)p
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V 175 w(3)p 2484 3013 V 175 w(2)p 2708 3013 V 150 w(38)p
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a Fj(d)g Fn(=)g(6)p 1344 3133 V 1361 3133 V 243 w(3)p
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V 1361 3252 V 194 w(6)p 1584 3252 V 154 w(12)p 1813 3252
V 152 w(1)p 2037 3252 V 175 w(1)p 2261 3252 V 175 w(1)p
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V 934 3256 2000 4 v 932 3372 4 117 v 976 3337 a Fj(d)g
Fn(=)g(24)p 1344 3372 V 1361 3372 V 194 w(6)p 1584 3372
V 154 w(24)p 1813 3372 V 152 w(1)p 2037 3372 V 175 w(1)p
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V 150 w(19)p 2932 3372 V 934 3375 2000 4 v 932 3492 4
117 v 976 3457 a Fj(d)g Fn(=)g(48)p 1344 3492 V 1361
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w(1)p 2037 3492 V 175 w(1)p 2261 3492 V 175 w(1)p 2484
3492 V 175 w(5)p 2708 3492 V 150 w(16)p 2932 3492 V 934
3495 2000 4 v 932 3611 4 117 v 976 3576 a Fj(d)g Fn(=)g(96)p
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1813 3611 V 152 w(1)p 2037 3611 V 175 w(1)p 2261 3611
V 175 w(1)p 2484 3611 V 175 w(5)p 2708 3611 V 150 w(14)p
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V 175 w(1)p 2261 3731 V 175 w(1)p 2484 3731 V 175 w(4)p
2708 3731 V 150 w(15)p 2932 3731 V 934 3734 2000 4 v
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4283 4 117 v 1086 4283 V 1103 4283 V 1186 4248 a Fm(A1)p
1407 4283 V 189 w(A2)p 1761 4283 V 164 w(A3)p 2018 4283
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V 107 w(8.94)p 2836 4778 V 123 w(Large)p 3190 4778 V
676 4781 2516 4 v 674 4898 4 117 v 717 4863 a Fj(d)h
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V 82 w(1.00)p 2274 4898 V 82 w(1.00)p 2531 4898 V 83
w(17.82)p 2836 4898 V 98 w(Large)p 3190 4898 V 676 4901
2516 4 v 674 5017 4 117 v 717 4982 a Fj(d)h Fn(=)f(96)p
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V 1103 5137 V 99 w(71.15)p 1407 5137 V 83 w(192.00)p
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V 98 w(Large)p 3190 5137 V 676 5140 2516 4 v 675 5264
a Fo(T)-9 b(able)38 b(11.)49 b Fn(Av)m(erage)33 b(iteration)g(coun)m
(ts)h(in)e Fm(G5)h Fn(generator)g(tests.)p eop end
%%Page: 5 5
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a Fj(d)f Fn(=)h(48)p 678 1967 V 695 1967 V 225 w(61.96)p
1155 1967 V 184 w(60.95)p 1509 1967 V 209 w(3.27)p 1969
1967 V 184 w(4.89)p 2225 1967 V 184 w(4.89)p 2686 1967
V 262 w(69.65)p 3146 1967 V 224 w(Large)p 3597 1967 V
268 1970 3331 4 v 266 2086 4 117 v 310 2051 a Fj(d)f
Fn(=)h(96)p 678 2086 V 695 2086 V 201 w(125.31)p 1155
2086 V 135 w(121.73)p 1509 2086 V 184 w(3.45)p 1969 2086
V 184 w(6.26)p 2225 2086 V 184 w(6.26)p 2686 2086 V 238
w(140.79)p 3146 2086 V 199 w(Large)p 3597 2086 V 268
2090 3331 4 v 266 2206 4 117 v 310 2171 a Fj(d)f Fn(=)h(192)p
678 2206 V 695 2206 V 99 w(Unstable)p 1155 2206 V 84
w(242.06)p 1509 2206 V 82 w(Unstable)p 1969 2206 V 84
w(9.31)p 2225 2206 V 83 w(Unstable)p 2686 2206 V 84 w(Unstable)p
3146 2206 V 148 w(Large)p 3597 2206 V 268 2209 3331 4
v 675 2333 a Fo(T)-9 b(able)38 b(13.)49 b Fn(Av)m(erage)33
b(iteration)g(coun)m(ts)h(in)e Fm(G6)h Fn(generator)g(tests.)p
385 2522 3098 4 v 383 2638 4 117 v 795 2638 V 812 2638
V 973 2603 a Fm(A1)p 1271 2638 V 203 w(A2)p 1501 2638
V 204 w(A3)p 1961 2638 V 201 w(A4)p 2185 2638 V 201 w(A5)p
2645 2638 V 319 w(A6)p 3105 2638 V 277 w(A7)p 3481 2638
V 385 2641 3098 4 v 385 2658 V 383 2774 4 117 v 427 2739
a Fj(d)27 b Fn(=)h(3)p 795 2774 V 812 2774 V 361 w(5)p
1271 2774 V 295 w(7)p 1501 2774 V 296 w(5)p 1961 2774
V 293 w(4)p 2185 2774 V 293 w(4)p 2645 2774 V 411 w(6)p
3105 2774 V 320 w(242)p 3481 2774 V 385 2778 3098 4 v
383 2894 4 117 v 427 2859 a Fj(d)f Fn(=)h(6)p 795 2894
V 812 2894 V 336 w(12)p 1271 2894 V 247 w(15)p 1501 2894
V 271 w(7)p 1961 2894 V 293 w(6)p 2185 2894 V 293 w(6)p
2645 2894 V 387 w(12)p 3105 2894 V 222 w(173941)p 3481
2894 V 385 2897 3098 4 v 383 3013 4 117 v 427 2978 a
Fj(d)f Fn(=)h(12)p 795 3013 V 812 3013 V 287 w(25)p 1271
3013 V 247 w(25)p 1501 3013 V 271 w(8)p 1961 3013 V 293
w(9)p 2185 3013 V 293 w(9)p 2645 3013 V 387 w(25)p 3105
3013 V 249 w(Large)p 3481 3013 V 385 3017 3098 4 v 383
3133 4 117 v 427 3098 a Fj(d)f Fn(=)h(24)p 795 3133 V
812 3133 V 287 w(47)p 1271 3133 V 247 w(49)p 1501 3133
V 271 w(9)p 1961 3133 V 269 w(13)p 2185 3133 V 244 w(13)p
2645 3133 V 362 w(51)p 3105 3133 V 249 w(Large)p 3481
3133 V 385 3136 3098 4 v 383 3252 4 117 v 427 3218 a
Fj(d)f Fn(=)h(48)p 795 3252 V 812 3252 V 263 w(101)p
1271 3252 V 222 w(94)p 1501 3252 V 247 w(13)p 1961 3252
V 244 w(22)p 2185 3252 V 244 w(22)p 2645 3252 V 362 w(95)p
3105 3252 V 249 w(Large)p 3481 3252 V 385 3256 3098 4
v 383 3372 4 117 v 427 3337 a Fj(d)f Fn(=)h(96)p 795
3372 V 812 3372 V 263 w(154)p 1271 3372 V 198 w(174)p
1501 3372 V 246 w(6)p 1961 3372 V 269 w(35)p 2185 3372
V 244 w(35)p 2645 3372 V 337 w(183)p 3105 3372 V 225
w(Large)p 3481 3372 V 385 3375 3098 4 v 383 3492 4 117
v 427 3457 a Fj(d)f Fn(=)h(192)p 795 3492 V 812 3492
V 98 w(Unstable)p 1271 3492 V 85 w(331)p 1501 3492 V
82 w(Unstable)p 1961 3492 V 106 w(69)p 2185 3492 V 104
w(Unstable)p 2645 3492 V 84 w(Unstable)p 3105 3492 V
111 w(Large)p 3481 3492 V 385 3495 3098 4 v 495 3620
a Fo(T)-9 b(able)38 b(14.)48 b Fn(Maxim)m(um)35 b(iteration)d(coun)m
(ts)i(found)f(in)g Fm(G6)f Fn(generator)h(tests.)p eop
end
%%Page: 6 6
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b(tion)100 204 y Fn(In)39 b(T)-8 b(able)40 b(15)f(w)m(e)i(giv)m(e)f
(the)g(a)m(v)m(erage)g(CPU)g(time)g(p)s(er)g(iteration)f(for)g(our)g
Fm(G1)g Fn(exp)s(erimen)m(ts.)67 b(This)0 320 y(w)m(as)34
b(computed)f(using)h(the)f(MA)-8 b(TLAB)33 b Ff(cputime)h
Fn(function.)p 268 445 3331 4 v 266 561 4 117 v 678 561
V 695 561 V 856 526 a Fm(A1)p 1155 561 V 266 w(A2)p 1509
561 V 266 w(A3)p 1969 561 V 266 w(A4)p 2323 561 V 266
w(A5)p 2783 561 V 320 w(A6)p 3243 561 V 266 w(A7)p 3597
561 V 268 565 3331 4 v 268 581 V 266 697 4 117 v 310
663 a Fj(d)27 b Fn(=)h(3)p 678 697 V 695 697 V 250 w(0.0075)p
1155 697 V 135 w(0.0009)p 1509 697 V 135 w(0.0078)p 1969
697 V 135 w(0.0019)p 2323 697 V 135 w(0.0021)p 2783 697
V 188 w(0.0012)p 3243 697 V 136 w(0.0002)p 3597 697 V
268 701 3331 4 v 266 817 4 117 v 310 782 a Fj(d)f Fn(=)h(6)p
678 817 V 695 817 V 250 w(0.0087)p 1155 817 V 135 w(0.0010)p
1509 817 V 135 w(0.0095)p 1969 817 V 135 w(0.0033)p 2323
817 V 135 w(0.0035)p 2783 817 V 188 w(0.0012)p 3243 817
V 136 w(0.0002)p 3597 817 V 268 820 3331 4 v 266 937
4 117 v 310 902 a Fj(d)f Fn(=)h(12)p 678 937 V 695 937
V 201 w(0.0124)p 1155 937 V 135 w(0.0013)p 1509 937 V
135 w(0.0141)p 1969 937 V 135 w(0.0073)p 2323 937 V 135
w(0.0074)p 2783 937 V 188 w(0.0016)p 3243 937 V 136 w(0.0004)p
3597 937 V 268 940 3331 4 v 266 1056 4 117 v 310 1021
a Fj(d)f Fn(=)h(24)p 678 1056 V 695 1056 V 201 w(0.0229)p
1155 1056 V 135 w(0.0022)p 1509 1056 V 135 w(0.0267)p
1969 1056 V 135 w(0.0182)p 2323 1056 V 135 w(0.0184)p
2783 1056 V 188 w(0.0030)p 3243 1056 V 136 w(0.0007)p
3597 1056 V 268 1059 3331 4 v 266 1176 4 117 v 310 1141
a Fj(d)f Fn(=)h(48)p 678 1176 V 695 1176 V 201 w(0.0625)p
1155 1176 V 135 w(0.0043)p 1509 1176 V 135 w(0.0702)p
1969 1176 V 135 w(0.0474)p 2323 1176 V 135 w(0.0477)p
2783 1176 V 188 w(0.0085)p 3243 1176 V 136 w(0.0014)p
3597 1176 V 268 1179 3331 4 v 266 1295 4 117 v 310 1260
a Fj(d)f Fn(=)h(96)p 678 1295 V 695 1295 V 201 w(0.2510)p
1155 1295 V 135 w(0.0099)p 1509 1295 V 135 w(0.2608)p
1969 1295 V 135 w(0.1318)p 2323 1295 V 135 w(0.1324)p
2783 1295 V 188 w(0.0495)p 3243 1295 V 136 w(0.0035)p
3597 1295 V 268 1299 3331 4 v 266 1415 4 117 v 310 1380
a Fj(d)f Fn(=)h(192)p 678 1415 V 695 1415 V 152 w(1.5592)p
1155 1415 V 135 w(0.0277)p 1509 1415 V 135 w(1.2623)p
1969 1415 V 135 w(0.3275)p 2323 1415 V 135 w(0.3268)p
2783 1415 V 188 w(0.7843)p 3243 1415 V 136 w(0.0121)p
3597 1415 V 268 1418 3331 4 v 266 1534 4 117 v 310 1499
a Fj(d)f Fn(=)h(384)p 678 1534 V 695 1534 V 99 w(Unstable)p
1155 1534 V 84 w(0.1144)p 1509 1534 V 82 w(Unstable)p
1969 1534 V 84 w(1.1381)p 2323 1534 V 82 w(Unstable)p
2783 1534 V 84 w(Unstable)p 3243 1534 V 85 w(0.0619)p
3597 1534 V 268 1538 3331 4 v 687 1662 a Fo(T)-9 b(able)38
b(15.)49 b Fn(Av)m(erage)33 b(iteration)g(times)h(on)e
Fm(G1)h Fn(generator)f(tests.)100 1974 y(The)k(time)g(p)s(er)f
(iteration)h(is)g(fairly)f(constan)m(t)h(across)g(problem)g(t)m(yp)s
(es)h(so)f(w)m(e)g(do)f(not)h(include)g(data)0 2091 y(from)44
b(the)h(other)f(generators.)79 b(One)44 b(di\013erence)i(that)e(will)h
(o)s(ccur)g(is)f(that)g Fm(A5)g Fn(will)h(ha)m(v)m(e)h(a)d(higher)0
2207 y(a)m(v)m(erage)h(iteration)f(time)h(as)f(that)g
Fm(A4)f Fn(for)h(ill-conditioned)h(problems.)76 b(In)43
b(random)g(problems,)k(w)m(e)0 2323 y(rarely)28 b(see)g(slo)m(w)h(con)m
(v)m(ergence)h(of)d Fm(A4)g Fn(so)g(it)g(is)h(unnecessary)i(to)d(use)i
(the)e(slo)m(w)m(er)i(steps)g(from)e Fm(A3)p Fn(.)42
b(With)0 2439 y(ill-conditioned)35 b(problems)g(the)f
Fm(A3)g Fn(steps)h(b)s(ecome)g(more)f(frequen)m(t)h(and)f(increase)h
(the)g(a)m(v)m(erage)f(time)0 2555 y(p)s(er)f(iteration.)100
2725 y Fe(Ad)n(v)-7 b(anced)40 b(Optimiza)-6 b(tion)42
b(Labora)-6 b(tor)g(y,)44 b(Dep)-6 b(ar)g(tment)43 b(of)f(Computing)g
(and)f(Softw)-7 b(are,)43 b(F)-10 b(a)n(cul)k(ty)0 2824
y(of)27 b(Engineering,)h(1280)e(Main)h(St.)f(West,)i(McMaster)f
(University,)h(Hamil)-6 b(ton,)26 b(Ont)-6 b(ario,)28
b(Canad)n(a)f(L8S)0 2924 y(4K1.)100 3024 y Fd(E-mail)j(addr)l(ess)7
b Fc(:)38 b Fb(f)p Fa(deza,huangs3,ter)o(la)o(ky)p Fb(g)o
Fa(@m)o(cm)o(ast)o(er)o(.c)o(a)100 3193 y Fe(Dep)-6 b(ar)g(tment)36
b(of)e(Ma)-6 b(thema)g(tics,)36 b(Simon)e(Fraser)h(University,)g(8888)f
(University)g(Drive,)h(Burnaby,)0 3293 y(British)d(Columbia,)e(Canad)n
(a)h(V5A)g(1S6.)100 3392 y Fd(E-mail)f(addr)l(ess)7 b
Fc(:)38 b Fa(tamon)p 928 3392 27 4 v 30 w(stephen@sfu.ca)p
eop end
%%Trailer

userdict /end-hook known{end-hook}if
%%EOF